Congruent Triangles & Corresponding Parts

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does the acronym SAS stand for in triangle congruence?

Back

Side-Angle-Side: A postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does the acronym ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does the acronym AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A postulate that states if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts are the sides and angles of two triangles that are equal in measure when the triangles are congruent.

Tags

CCSS.8.G.A.2

Front

If triangle ABC is congruent to triangle MNO, what can be said about their corresponding sides?

Back

The corresponding sides of triangle ABC and triangle MNO are equal in length.

Tags

CCSS.HSG.CO.B.7

Front

If AC = 34 and AB = 14 - x in triangle ABC, what is the relationship between these sides in triangle MNO?

Back

In triangle MNO, the corresponding side to AC is equal to 34, and the corresponding side to AB is equal to 14 - x.

Tags

CCSS.HSG.CO.B.7

Front

What additional information is needed to prove triangle BAC is congruent to triangle DAC by SAS?

Back

You need to know that m<BAC = m<DAC.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between the angles and sides of congruent triangles?

Back

Congruent triangles have 3 congruent sides and 3 congruent angles.

Tags

CCSS.8.G.A.2

Front

If two triangles have two pairs of congruent angles, what can be concluded about the triangles?

Back

The triangles are similar, and if one side is also congruent, they are congruent.

Tags

CCSS.HSG.CO.B.7